R. Ayala

San Francisco State University

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A. Quintero

Universidad de Sevilla

Eladio Domínguez

Universidad de Zaragoza

José Antonio Vilches

Universidad de Sevilla

A. R. Francés

Universidad de Zaragoza

Alberto Márquez

Universidad de Sevilla

D. Fernández-Ternero

Universidad de Sevilla

Luis M. Fernández

Universidad de Sevilla

M. Cárdenas

Universidad de Sevilla

María José Chávez de Diego

Universidad de Sevilla

Francisco F. Lasheras

Universidad de Sevilla

Cooperative Institutions

San Francisco State University

Universidad de Sevilla

Universidad de Zaragoza

University of Ljubljana

Universidade de Santiago de Compostela

Institute of Mathematics, Physics, and Mechanics

IE University

Max Planck Institute for Mathematics

University of California, Berkeley

Cornell University

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An Elementary Approach to the Projective Dimension in Proper Homotopy Theory

Communications in Algebra (2003)

R. Ayala M. Cárdenas Fernando Muro A. Quintero

Abstract This paper presents some basic properties of the category of trees of abelian groups. In particular an elementary proof of the existence of kernels in the category of “finitely generated” trees is included. Also a characterization of projective dimension in the class of “pro-finitely generated” trees is given in terms of the inverse limit functor.

Inverse limit

Characterization

Direct limit

10.1081/agb-120024863

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Citations (4)

HUREWICZ THEOREM FOR HOMOLOGY AT INFINITY

The Quarterly Journal of Mathematics (1993)

R. Ayala Eladio Domínguez A. Quintero

Journal Article HUREWICZ THEOREM FOR HOMOLOGY AT INFINITY Get access R. AYALA, R. AYALA Facultad de Matemáticas Universidad de Sevilla41012 Servilla Spain Search for other works by this author on: Oxford Academic Google Scholar E. DOMÍNGUEZ, E. DOMÍNGUEZ Dept. de Mathemáticas Facultad de Ciencias Universidad de Zaragoza5009 Zaragoza Spain Search for other works by this author on: Oxford Academic Google Scholar A. QUINTERO A. QUINTERO Faculted de Mathemáticas Universidad de Sevilla41012 Sevilla Spain Search for other works by this author on: Oxford Academic Google Scholar The Quarterly Journal of Mathematics, Volume 44, Issue 2, June 1993, Pages 139–153, https://doi.org/10.1093/qmath/44.2.139 Published: 01 June 1993 Article history Received: 05 November 1990 Revision received: 24 June 1991 Published: 01 June 1993

Infinity

Homology

10.1093/qmath/44.2.139

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Citations (2)

A DIGITAL INDEX THEOREM

International Journal of Pattern Recognition and Artificial Intelligence (2001)

Eladio Domínguez A. R. Francés R. Ayala A. Quintero

This paper is devoted to state and prove a Digital Index Theorem for digital (n - 1)-manifolds in a digital space (R n , f), where f belongs to a large family of lighting functions on the standard cubical decomposition R n of the n-dimensional Euclidean space. As an immediate consequence we obtain the corresponding theorems for all (α, β)-surfaces of Kong–Roscoe, with α, β ∈ {6, 18, 26} and (α, β) ≠ (6, 6), (18, 26), (26, 26), as well as for the strong 26-surfaces of Bertrand–Malgouyres.

10.1142/s0218001401001362

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Citations (11)

Determining the components of the complement of a Digital (n−1)-manifold in ℤn

Lecture notes in computer science (1996)

R. Ayala Eladio Domínguez A. R. Francés A. Quintero

Complement

Manifold (fluid mechanics)

Digital topology

10.1007/3-540-62005-2_14

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Citations (11)

The number of excellent discrete Morse functions on graphs

Discrete Applied Mathematics (2011)

R. Ayala D. Fernández-Ternero José Antonio Vilches

Discrete Morse theory

10.1016/j.dam.2010.12.011

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Citations (7)

Digital lighting functions

Lecture notes in computer science (1997)

R. Ayala Eladio Domínguez A. R. Francés A. Quintero

10.1007/bfb0024836

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Citations (23)

Discrete gradient fields on infinite complexes

Discrete and Continuous Dynamical Systems (2011)

R. Ayala José Antonio Vilches Gregor Jerše Neža Mramor Kosta

The aim of this work is to characterize the discrete gradientvector fields on infinite and locally finite simplicial complexes which are induced by a proper discreteMorse function. This characterization is essentially given by thenon-existence of closed trajectories and the absence of a certainkind of incidence between monotonous rays in the given field.

Characterization

10.3934/dcds.2011.30.623

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Citations (3)

Exponential law for uniformly continuous proper maps

Publicacions Matemàtiques (1988)

R. Ayala Enrique Outerelo Domínguez A. Quintero

The purpose of this note is to prove the exponential law for uniformly continuous proper maps .

10.5565/publmat_32188_11

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Triangulating and recognising PL homology manifolds

Mathematical Proceedings of the Cambridge Philosophical Society (1988)

R. Ayala A. Quintero W. J. R. Mitchell

Abstract An earlier recognition theorem of one of the authors is extended to the bounded case, and conditions yielding concordance of triangulations are established.

Homology

10.1017/s0305004100065683

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Citations (1)

Digital homotopy with obstacles

Discrete Applied Mathematics (2003)

R. Ayala Eladio Domínguez A. R. Francés A. Quintero

10.1016/j.dam.2003.08.002

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Citations (6)